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Finding the Third Proportional to 33,566,251 and 51,832,165.75

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Solution

The third proportional to 33,566,251 and 51,832,165.75 is: 80,037,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566,251 : 51,832,165.75 = 51,832,165.75 : x
  2. Step 2: Convert to fraction form
    33,566,251/51,832,165.75 = 51,832,165.75/x
  3. Step 3: Cross multiply
    33,566,251x = 51,832,165.75 × 51,832,165.75
  4. Step 4: Simplify right side
    33,566,251x = 2,686,573,406,335,473
  5. Step 5: Solve for x
    x = 2,686,573,406,335,473/33,566,251
  6. Step 6: Final answer
    x = 80,037,934.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.